In this study, we numerically investigate the flow induction process of DBD plasma actuator, which consists of the plasma evolution, the body force generation by the particle collisions and the flow induction by the body force field. In order to understand comprehensively these processes, coupling simulation of discharge plasma and induced flow is necessary. As the start of this study, incompressible Navier-Stoke simulation and discharge plasma simulation are alternately conducted; flow field is simulated using the body force field obtained by the plasma simulation, and the effects of the flow field obtained by the Navier-Stokes simulation is taken into account in the plasma simulation. As a result, although the flow velocity induced by the DBD plasma actuator is low(up to 10m/s), the discharge plasmadynamics is affected by the induced flow field. It is considered that the convection of plasma ions by the induced flow affects the discharge characteristics, especially in the positive-going voltage half cycle.